Matrix3D.hpp File Reference

#include <iostream>
#include <sstream>
#include <cstdlib>
#include "Mesquite.hpp"
#include "Vector3D.hpp"
#include "SymMatrix3D.hpp"

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Classes
class	MBMesquite::Matrix3D
	3*3 Matric class, row-oriented, 0-based [i][j] indexing. More...
Namespaces
namespace	MBMesquite
	Implements the NonSmoothDescent class member functions.
Functions
std::ostream &	MBMesquite::operator<< (std::ostream &s, const Matrix3D &A)
std::istream &	MBMesquite::operator>> (std::istream &s, Matrix3D &A)
bool	MBMesquite::operator== (const Matrix3D &lhs, const Matrix3D &rhs)
bool	MBMesquite::operator!= (const Matrix3D &lhs, const Matrix3D &rhs)
Matrix3D	MBMesquite::operator- (const Matrix3D &A)
const Matrix3D	MBMesquite::operator+ (const Matrix3D &A, const Matrix3D &B)
Matrix3D	MBMesquite::operator+ (const Matrix3D &A, const SymMatrix3D &B)
Matrix3D	MBMesquite::operator+ (const SymMatrix3D &B, const Matrix3D &A)
const Matrix3D	MBMesquite::operator- (const Matrix3D &A, const Matrix3D &B)
Matrix3D	MBMesquite::operator- (const Matrix3D &A, const SymMatrix3D &B)
Matrix3D	MBMesquite::operator- (const SymMatrix3D &B, const Matrix3D &A)
const Matrix3D	MBMesquite::mult_element (const Matrix3D &A, const Matrix3D &B)
	Multiplies entry by entry. This is NOT a matrix multiplication.
double	MBMesquite::Frobenius_2 (const Matrix3D &A)
	Return the square of the Frobenius norm of A, i.e. sum (diag (A' * A))
Matrix3D	MBMesquite::transpose (const Matrix3D &A)
Matrix3D	MBMesquite::plus_transpose (const Matrix3D &A, const Matrix3D &B)
	\( + B^T \)
const Matrix3D	MBMesquite::operator* (const Matrix3D &A, const Matrix3D &B)
const Matrix3D	MBMesquite::operator* (const Matrix3D &A, const SymMatrix3D &B)
const Matrix3D	MBMesquite::operator* (const SymMatrix3D &B, const Matrix3D &A)
const Matrix3D	MBMesquite::operator* (const SymMatrix3D &a, const SymMatrix3D &b)
const Matrix3D	MBMesquite::operator* (double s, const Matrix3D &A)
void	MBMesquite::matmult (Matrix3D &C, const Matrix3D &A, const Matrix3D &B)
	\( C = A \times B \)
const Vector3D	MBMesquite::operator* (const Matrix3D &A, const Vector3D &x)
	Computes \( A v \) .
const Vector3D	MBMesquite::operator* (const Vector3D &x, const Matrix3D &A)
	Computes \( v^T A \) .
void	MBMesquite::eqAx (Vector3D &v, const Matrix3D &A, const Vector3D &x)
void	MBMesquite::plusEqAx (Vector3D &v, const Matrix3D &A, const Vector3D &x)
void	MBMesquite::eqTransAx (Vector3D &v, const Matrix3D &A, const Vector3D &x)
void	MBMesquite::plusEqTransAx (Vector3D &v, const Matrix3D &A, const Vector3D &x)
void	MBMesquite::plusEqaA (Matrix3D &B, const double a, const Matrix3D &A)
double	MBMesquite::det (const Matrix3D &A)
void	MBMesquite::inv (Matrix3D &Ainv, const Matrix3D &A)
void	MBMesquite::timesInvA (Matrix3D &B, const Matrix3D &A)
void	MBMesquite::QR (Matrix3D &Q, Matrix3D &R, const Matrix3D &A)

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Detailed Description

3*3 Matric class, row-oriented, 0-based [i][j] indexing.

Author:

Thomas Leurent

Definition in file Matrix3D.hpp.